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Finding the Fourth Proportional to 506,912.84, 699,695.52 and 292,196.44

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Solution

The fourth proportional to 506,912.84, 699,695.52 and 292,196.44 is: 403,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,912.84 : 699,695.52 = 292,196.44 : x
  2. Step 2: Convert to fraction form
    506,912.84/699,695.52 = 292,196.44/x
  3. Step 3: Cross multiply
    506,912.84x = 699,695.52 × 292,196.44
  4. Step 4: Simplify right side
    506,912.84x = 204,448,540,027.95
  5. Step 5: Solve for x
    x = 204,448,540,027.95/506,912.84
  6. Step 6: Final answer
    x = 403,320.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.